On the range of applicability of Bourret approximation (Q1374174)
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scientific article; zbMATH DE number 1093057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the range of applicability of Bourret approximation |
scientific article; zbMATH DE number 1093057 |
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On the range of applicability of Bourret approximation (English)
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24 August 1998
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This paper deals with the range of validity of the approximate average solution for the simplified equation of motion. The solution is obtained by means of two different methods: Adomian's decomposition and Bourret's approximation. The formula for the error evaluation is derived and mean square convergence of the solution series is proved. Parametric study shows that Bourret's approximation may lead to quite reasonable results.
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stochastic waves
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random oscillator
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formula for error evaluation
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mean square convergence of solution series
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parametric study
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Adomian's decomposition
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